213341200 has 30 divisors (see below), whose sum is σ = 512553194. Its totient is φ = 85336320.

The previous prime is 213341179. The next prime is 213341203. The reversal of 213341200 is 2143312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 414736 + 212926464 = 644^2 + 14592^2 .

It is a super-3 number, since 3×213341200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (213341203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266277 + ... + 267076.

Almost surely, 2^213341200 is an apocalyptic number.

213341200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213341200 is an abundant number, since it is smaller than the sum of its proper divisors (299211994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213341200 is a wasteful number, since it uses less digits than its factorization.

213341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533371 (or 533360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213341200 is about 14606.2041612460. The cubic root of 213341200 is about 597.5279773085.

Adding to 213341200 its reverse (2143312), we get a palindrome (215484512).

The spelling of 213341200 in words is "two hundred thirteen million, three hundred forty-one thousand, two hundred".